首页|Arbitrary High-Order Fully-Decoupled Numerical Schemes for Phase-Field Models of Two-Phase Incompressible Flows

Arbitrary High-Order Fully-Decoupled Numerical Schemes for Phase-Field Models of Two-Phase Incompressible Flows

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Due to the coupling between the hydrodynamic equation and the phase-field equation in two-phase incompressible flows,it is desirable to develop efficient and high-order accu-rate numerical schemes that can decouple these two equations.One popular and efficient strategy is to add an explicit stabilizing term to the convective velocity in the phase-field equation to decouple them.The resulting schemes are only first-order accurate in time,and it seems extremely difficult to generalize the idea of stabilization to the second-order or higher version.In this paper,we employ the spectral deferred correction method to improve the temporal accuracy,based on the first-order decoupled and energy-stable scheme con-structed by the stabilization idea.The novelty lies in how the decoupling and linear implicit properties are maintained to improve the efficiency.Within the framework of the spatially discretized local discontinuous Galerkin method,the resulting numerical schemes are fully decoupled,efficient,and high-order accurate in both time and space.Numerical experi-ments are performed to validate the high-order accuracy and efficiency of the methods for solving phase-field models of two-phase incompressible flows.

Two-phase incompressible flowsFully-decoupledHigh-order accurateLinear implicitSpectral deferred correction methodLocal discontinuous Galerkin method

Ruihan Guo、Yinhua Xia

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School of Mathematics and Statistics,Zhengzhou University,Zhengzhou 450001,Henan,China

School of Mathematical Sciences,University of Science and Technology of China,Hefei 230026,Anhui,China

国家自然科学基金Natural Science Foundation of Henan Province of China国家自然科学基金国家重点研发计划

12271492222300420550122714982022YFA1005202/2022YFA1005200

2024

10.1007/s42967-023-00283-9

应用数学与计算数学学报
上海大学

应用数学与计算数学学报

影响因子：0.165
ISSN：1006-6330
年,卷(期)：2024.6(1)
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